10122101112 has 32 divisors (see below), whose sum is σ = 25682947200. Its totient is φ = 3323674464.

The previous prime is 10122101111. The next prime is 10122101113. The reversal of 10122101112 is 21110122101.

It is an interprime number because it is at equal distance from previous prime (10122101111) and next prime (10122101113).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122101111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3145812 + ... + 3149027.

It is an arithmetic number, because the mean of its divisors is an integer number (802592100).

Almost surely, 2^10122101112 is an apocalyptic number.

10122101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10122101112 is an abundant number, since it is smaller than the sum of its proper divisors (15560846088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10122101112 is a wasteful number, since it uses less digits than its factorization.

10122101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6294915 (or 6294911 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10122101112 its reverse (21110122101), we get a palindrome (31232223213).

The spelling of 10122101112 in words is "ten billion, one hundred twenty-two million, one hundred one thousand, one hundred twelve".